17 An archer is training for the Olympics.
Each of the archer's training sessions consists of 30 attempts to hit the centre of a target.
The archer consistently hits the centre of the target with \(79 \%\) of their attempts.
It can be assumed that the number of times the centre of the target is hit in any training session can be modelled by a binomial distribution.
17
- Find the mean of the number of times that the archer hits the centre of the target during a training session.
17
- Find the probability that the archer hits the centre of the target exactly 22 times during a particular training session.
17
- Find the probability that the archer hits the centre of the target 18 times or less during a particular training session.
[0pt]
[1 mark]
17 - Find the probability that the archer hits the centre of the target more than 26 times in a training session.
[0pt]
[2 marks]